Highest Common Factor of 807, 579, 401 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 807, 579, 401 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 807, 579, 401 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 807, 579, 401 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 807, 579, 401 is 1.

HCF(807, 579, 401) = 1

HCF of 807, 579, 401 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 807, 579, 401 is 1.

Highest Common Factor of 807,579,401 using Euclid's algorithm

Highest Common Factor of 807,579,401 is 1

Step 1: Since 807 > 579, we apply the division lemma to 807 and 579, to get

807 = 579 x 1 + 228

Step 2: Since the reminder 579 ≠ 0, we apply division lemma to 228 and 579, to get

579 = 228 x 2 + 123

Step 3: We consider the new divisor 228 and the new remainder 123, and apply the division lemma to get

228 = 123 x 1 + 105

We consider the new divisor 123 and the new remainder 105,and apply the division lemma to get

123 = 105 x 1 + 18

We consider the new divisor 105 and the new remainder 18,and apply the division lemma to get

105 = 18 x 5 + 15

We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get

18 = 15 x 1 + 3

We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get

15 = 3 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 807 and 579 is 3

Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(105,18) = HCF(123,105) = HCF(228,123) = HCF(579,228) = HCF(807,579) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 401 > 3, we apply the division lemma to 401 and 3, to get

401 = 3 x 133 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 401 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(401,3) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 807, 579, 401 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 807, 579, 401?

Answer: HCF of 807, 579, 401 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 807, 579, 401 using Euclid's Algorithm?

Answer: For arbitrary numbers 807, 579, 401 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.